The necessity to align the rotor with the d-q magnetic axes is the main obstacle for the wide application of synchronous machine standstill parameter tests, especially for the high-power units. This paper presents an arbitrary rotor position parameter estimation method for standstill time-domain response (SSTRs) tests and applied on a 300 MVar, 20 kV large synchronous condenser, a DC step voltage signal is selected as the input signal. Firstly, a frequency-domain Dalton-Cameron transformation is demonstrated and used to simultaneously obtain both axes' operational inductances in an arbitrary rotor position, thus eliminating the need for the rotor prepositioning process. Then, a novel analytical parameter estimation method combined with an I/T transformation is proposed, all the parameters of both axes are determined without extra tests, the mutual leakage flux between the field winding and the d-axis damper winding is also taken in account. To validate the proposed method, this test is carried out and its parameter estimation results are compared against that of the three-phase sudden short-circuit test and the traditional SSTR test. Estimation results are given in the form of I-type and T-type circuits, the maximum relative error no more than 6% and 10%, respectively. INDEX TERMS Parameter estimation, large synchronous condenser, standstill time-domain response, arbitrary rotor position NOMENCLATURE uabc stator three-phase voltage us stator input voltage iabc stator three-phase current ud, uq d-and q-axis voltage, respectively id, iq d-and q-axis current, respectively uf field winding voltage if, iD field and damper winding current, respectively iQ1, iQ2 q-axis damper winding 1, 2 current, respectively Ld, Lq d-and q-axis synchronous inductance, respectively Lad, Laq d-and q-axis armature reaction inductance, respectively Lsl stator leakage inductance Lfl, Ldl field and damper winding leakage inductance, respectively LQl1, LQl2 q-axis damper winding 1, 2 leakage inductance, respectively L d ' , L d '' d-axis transient and sub-transient inductance, respectively L q '' , L q ''' q-axis sub-transient and sub-subtransient inductance, respectively T d ' , T d '' d-axis transient and sub-transient shortcircuit time constant, respectively T d0 ' , T d0 '' d-axis transient and sub-transient opencircuit time constant, respectively T q '' , T q ''' q-axis sub-transient and sub-subtransient short-circuit time constant, respectively T q0 '' , T q0 ''' q-axis sub-transient and sub-subtransient open-circuit time constant, respectively Tf, TD field and damper winding leakage time constant, respectively ra, rs stator and armature resistance, respectively rf, rD field and damper winding resistance, respectively rQ1, rQ2 q-axis damper winding 1, 2 resistance, respectively rotor position angle